29728512 has 288 divisors, whose sum is σ = 105960960. Its totient is φ = 8110080.

The previous prime is 29728477. The next prime is 29728513. The reversal of 29728512 is 21582792.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29728513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292533 + ... + 1292555.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^29728512 is an apocalyptic number.

29728512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

29728512 is an abundant number, since it is smaller than the sum of its proper divisors (76232448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29728512 is a wasteful number, since it uses less digits than its factorization.

29728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 29728512 is about 5452.3858997690. The cubic root of 29728512 is about 309.7831018333.

The spelling of 29728512 in words is "twenty-nine million, seven hundred twenty-eight thousand, five hundred twelve".